Do you need an axe in the UK? Possibly not. A laplander and or bowsaw will cope with the majority of wood cutting you need; felling a tree is easier with a saw than an axe IMHO
Another point in favour of the saw as opposed to the axe is that while saw-cuts are nasty and slow to heal, one seldom do major damage to oneself with a saw (cut tendons in the back of the hand are probably the most likley "bad" injuries). Axes can quickly do major and permanent damage.